∫x* cos²x dx=?

来源：学生作业帮编辑：作业帮分类：综合作业时间：2024/05/14 18:38:32

∫x* cos²x dx=?

∫x* cos²x dx
=1/2∫x* (1+cos2x)dx
=x^2/4+1/2∫xcos2xdx
=x^2/4+1/4∫xdsin2x
=x^2/4+1/4xsin2x-1/4∫sin2xdx
=x^2/4+1/4xsin2x+1/8cos2x+C

∫x* cos²x dx=? ∫ cos²x dx ∫cos(x*x)dx=? ∫ (1+cos^2 x)/cos^2 x dx = ∫dx/cos²x√tanx ∫cos(x+2)dx=多少 ∫(2/cos^2x)dx= ∫cos((x/3)-1)dx=? ∫cos(x^3)dx= ∫cos³x dx ∫sin^3(x)cos^2(x)dx= 微积分求解∫e^x cos(e^x)dx=